Question 24
Coordinate GeometryWhich of these inequalities is represented by the shaded portion of the graph?

- A.2y + x − 3 < 0
- B.2y − x − 3 < 0
- C.2y − x + 3 < 0
- D.2y + x + 3 < 0
Show the answer and explanation
Answer: B (2y − x − 3 < 0)
Explanation
The boundary line passes through (−3, 0) and (0, 1.5), so it is 2y = x + 3. The shaded side is below the line, where 2y − x − 3 < 0.